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Finding the Fourth Proportional to 812.30, 1,120.20 and 532.77

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Solution

The fourth proportional to 812.30, 1,120.20 and 532.77 is: 734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.30 : 1,120.20 = 532.77 : x
  2. Step 2: Convert to fraction form
    812.30/1,120.20 = 532.77/x
  3. Step 3: Cross multiply
    812.30x = 1,120.20 × 532.77
  4. Step 4: Simplify right side
    812.30x = 596,808.95
  5. Step 5: Solve for x
    x = 596,808.95/812.30
  6. Step 6: Final answer
    x = 734.72

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.